504603306405 has 48 divisors (see below), whose sum is σ = 957415769856. Its totient is φ = 243821074560.

The previous prime is 504603306343. The next prime is 504603306457.

504603306405 is a `hidden beast` number, since 5 + 0 + 4 + 6 + 0 + 3 + 3 + 0 + 640 + 5 = 666.

504603306405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504603306405 - 2¹⁵ = 504603273637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 504603306405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594557 + ... + 1884626.

It is an arithmetic number, because the mean of its divisors is an integer number (19946161872).

Almost surely, 2^504603306405 is an apocalyptic number.

504603306405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504603306405 is a deficient number, since it is larger than the sum of its proper divisors (452812463451).

504603306405 is a wasteful number, since it uses less digits than its factorization.

504603306405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479498 (or 3479495 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 504603306405 in words is "five hundred four billion, six hundred three million, three hundred six thousand, four hundred five".